Question

Q. Factors of ax² + bx² + ay² + by² are
(a) (a + b) (x²)
(c)(a + b) and y²
(b) (a + b) and (x² + y²)
(d) a and b only​

Answer 1

Answer:

$factors \: are \: \: \: (a + b) \: and( {x}^{2} + {y}^{2} ).$

Step-by-step explanation:

$a {x}^{2} + b {x}^{2} + a {y}^{2} + b {y}^{2} = {x}^{2} (a + b) + {y}^{2} (a + b) \\ = ( {x}^{2} + {y}^{2} )(a + b) \\ \\ \\ therefore \: \: factors \: are \: \: \: (a + b) \: and( {x}^{2} + {y}^{2} ).$